The application of time-varying wavelet estimation based on high-order cumulants
ZHANG Yan1, CAO Si-Yuan2, ZHENG Xiao-Dong1, LU Jiao-Tong3
1. PetroChina Research Institute of Petroleum Exploration & Development, Beijing 100083, China;
2. College of Geophysics & Information Engineering, China University of Petroleum, Beijing 102249, China;
3. Sinopec Geophysical Corporation, Beijing 100029, China
Wavelet estimation is the foundation of high-resolution seismic data processing and interpretation. It is of great significance to estimate the wavelet rapidly and exactly. This paper gets the amplitude spectrum from the trispetrum and phase from the seismic data based on the principle of kurtosis maximum, which avoids phase wrapping properly, and discusses the application condition of this principle. The property of the different window functions is also compared, and Hamming is moved to calculate the time-varying wavelets. The ricker wavlet model is used which is frequency-changing to illustrate its effectiveness. In the real data processing, the method is comparatively analyzed for the well-seismic calibrated data based on different frequency ricker wavlets. The results show that the estimated wavlet amplitude spectrum is more stable, and the phase spectrum can be realized easily and is more consistent with the true wavelet.
张, 曹思远, 郑晓东, 路交通. 基于高阶统计的时变子波估计及其应用[J]. 物探与化探, 10.11720/wtyht.2014.5.21.
ZHANG Yan, CAO Si-Yuan, ZHENG Xiao-Dong, LU Jiao-Tong. The application of time-varying wavelet estimation based on high-order cumulants. Geophysical and Geochemical Exploration, 2014, 38(5): 989-995.
[1] 戴永寿,郑德玲,魏磊,等.高阶统计量地震子波估计建模[J].石油地球物理勘探,2006,41(5):514-518.[2] 杨培杰,印兴耀.地震子波提取方法综述[J].石油地球物理勘探,2008,43 (1):123-128.[3] 高少武,赵波,贺振华,等.地震子波提取方法研究进展[J].地球物理学进展,2009,24(4):1384-1391.[4] 梁光河.地震子波提取方法研究[J].石油物探,1998,37(1):31-39.[5] Gregory D L.Mixed-phase wavelet estimation using fourth-order cumulants[J].Geophysics,1993,58(7):1042-105.[6] Velis D R,Ulrych T J.Simulated annealing wavelet estimation via fourth order cumulant matching[J].Geophysics,1996,61(6):1939-1948.[7] Matsuoka T,Ulrych T J.Phase estimation using the bispectrum[J].Proc. IEEE,1984,72:1403-1411.[8] Lu W,Zhang Y,Zhang S,et al.Blind wavelet estimation using a zero-lag slice of the fourth order statistics[J].Journal of Geophysics and Engineering, 2007,4(1):24-30.[9] Mirko van der Baan.Time-varying wavelet estimation and deconvolution by kurto-sis maximization[J].Geophysics,2008,73(62):11-18.[10] Yu Y C,Wang S X,Yuan S Y,et al.Phase estimation in bispectral domain based on conformal mapping and applications in seismic wavelet estimation[J].Applied Geophysics,2011,8(1):36-47.[11] 孟大江,王德利.基于高阶统计复倒谱子波提取[J].物探与化探,2013,37(3):494-499,511.[12] 王万里,李国发,桂金咏.混合相位子波有色反褶积[J].岩性油气藏,2013,25(3):82:86.[13] 张贤达.现代信号处理[M].北京:清华大学出版社,2002.[14] Lisa A P.Principle domains of the trispectrum,signal bandwith,and implications for deconvolution[J].Geophysics,2000,65(3):958-969.[15] White R E.Maximum kurtosis phase correction[J].Geophysical Journal,1988,95:371-389.